JEE Main 2020 (Online) 3rd September Morning Slot | Center of Mass and Collision Question 62 | Physics

JEE Main 2020 (Online) 3rd September Morning Slot

MCQ (Single Correct Answer)

-1

A block of mass m = 1 kg slides with velocity v = 6 m/s on a frictionless horizontal surface and collides with a uniform vertical rod and sticks to it as shown. The rod is pivoted about O and swings as a result of the collision making angle $$\theta $$ before momentarily coming to rest. If the rod has mass M = 2 kg, and length $$l$$ = 1 m, the value of $$\theta $$ is approximately :
(take g = 10 m/s²) JEE Main 2020 (Online) 3rd September Morning Slot Physics - Center of Mass and Collision Question 62 English

JEE Main 2020 (Online) 3rd September Morning Slot Physics - Center of Mass and Collision Question 62 English

63^o

69^o

55^o

JEE Main 2020 (Online) 9th January Evening Slot

MCQ (Single Correct Answer)

-1

A particle of mass m is projected with a speed u from the ground at an angle $$\theta = {\pi \over 3}$$ w.r.t. horizontal (x-axis). When it has reached its maximum height, it collides completely inelastically with another particle of the same mass and velocity $$u\widehat i$$ . The horizontal distance covered by the combined mass before reaching the ground is:

$$2\sqrt 2 {{{u^2}} \over g}$$

$${{3\sqrt 3 } \over 8}{{{u^2}} \over g}$$

$${{3\sqrt 2 } \over 4}{{{u^2}} \over g}$$

$${5 \over 8}{{{u^2}} \over g}$$

JEE Main 2020 (Online) 9th January Morning Slot

MCQ (Single Correct Answer)

-1

Two particles of equal mass m have respective
initial velocities $$u\widehat i$$ and $$u\left( {{{\widehat i + \widehat j} \over 2}} \right)$$.
They collide completely inelastically. The energy lost in the process is :

$${1 \over 3}m{u^2}$$

$${1 \over 8}m{u^2}$$

$${3 \over 4}m{u^2}$$

$$\sqrt {{2 \over 3}} m{u^2}$$

JEE Main 2020 (Online) 8th January Evening Slot

MCQ (Single Correct Answer)

-1

A particle of mass m is dropped from a height h above the ground. At the same time another particle of the same mass is thrown vertically upwards from the ground with a speed of $$\sqrt {2gh} $$. If they collide head-on completely inelastically, the time taken for the combined mass to reach the ground, in units of $$\sqrt {{h \over g}} $$ is :

$$\sqrt {{1 \over 2}} $$

$${1 \over 2}$$

$$\sqrt {{3 \over 2}} $$

$$\sqrt {{3 \over 4}} $$

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